Graphics Programs Reference
In-Depth Information
Use the datainthe table to compute f (0
.
9.
2) as accuratelyas possible.
x
0
0
.
1
0
.
2
0
.
3
0
.
4
f ( x )
0
.
000 000
0
.
078 348
0
.
138 910
0
.
192 916
0
.
244 981
10.
Using fivesignificant figures in the computations, determine d (sin x )
/
dx at x
=
.
8 from (a) the first forward difference approximation, and (b) the first central
difference approximation. In each case, use h that gives the most accurate result
(this requires experimentation).
11. Use polynomial interpolation to compute f and f at x
0
=
0, using the data
x
2
.
2
0
.
3
0
.
8
1
.
9
f ( x )
15
.
180
10
.
962
1
.
920
2
.
040
12.
B
R
θ
x
A
C
The crank AB of length R
=
90 mm is rotating at the constant angular speed of
d
θ/
dt
=
5000 rev/min. The position of the piston C can be shown to vary with the
angle
θ
as
R cos
2
sin 2
x
=
θ +
.
5 2
θ
Write aprogram thatcomputes
the acceleration of
the pistonat
θ =
0 ,
5 ,
10 ,...,
180 by numerical differentiation.
13.
v
γ
C
y
β
α
A
B
a
x
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